Title :
Asymptotically invariant sets in the systems of differential equations with perturbations
Author :
Kuptsova, Svetlana
Author_Institution :
St. Petersburg State Univ., St. Petersburg, Russia
fDate :
June 30 2014-July 4 2014
Abstract :
This work is devoted to studying the behavior of solutions of systems of non-linear differential equations with unbounded increase of time. We give some sufficient conditions for the existence of asymptotically invariant sets for systems of differential equations of a certain type.
Keywords :
nonlinear differential equations; perturbation theory; set theory; asymptotically invariant sets; differential equation systems; nonlinear differential equations; system external perturbations; Asymptotic stability; Differential equations; Focusing; Integral equations; Magnetic properties; Manifolds; Oscillators;
Conference_Titel :
Beam Dynamics and Optimization (BDO), 2014 20th International Workshop on
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-5319-6
DOI :
10.1109/BDO.2014.6890045
